3(w-7)-(4-w)=11

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Solution for 3(w-7)-(4-w)=11 equation: 


Simplifying
3(w + -7) + -1(4 + -1w) = 11

Reorder the terms:
3(-7 + w) + -1(4 + -1w) = 11
(-7 * 3 + w * 3) + -1(4 + -1w) = 11
(-21 + 3w) + -1(4 + -1w) = 11
-21 + 3w + (4 * -1 + -1w * -1) = 11
-21 + 3w + (-4 + 1w) = 11

Reorder the terms:
-21 + -4 + 3w + 1w = 11

Combine like terms: -21 + -4 = -25
-25 + 3w + 1w = 11

Combine like terms: 3w + 1w = 4w
-25 + 4w = 11

Solving
-25 + 4w = 11

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + 4w = 11 + 25

Combine like terms: -25 + 25 = 0
0 + 4w = 11 + 25
4w = 11 + 25

Combine like terms: 11 + 25 = 36
4w = 36

Divide each side by '4'.
w = 9

Simplifying
w = 9

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